6740053200 has 480 divisors, whose sum is σ = 25030897920. Its totient is φ = 1721088000.

The previous prime is 6740053171. The next prime is 6740053207. The reversal of 6740053200 is 23500476.

It is a happy number.

6740053200 is a `hidden beast` number, since 6 + 7 + 400 + 53 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6740053207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40359517 + ... + 40359683.

It is an arithmetic number, because the mean of its divisors is an integer number (52147704).

Almost surely, 2^6740053200 is an apocalyptic number.

6740053200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6740053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12515448960).

6740053200 is an abundant number, since it is smaller than the sum of its proper divisors (18290844720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6740053200 is a wasteful number, since it uses less digits than its factorization.

6740053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 6740053200 is about 82097.8270114380. The cubic root of 6740053200 is about 1888.9528086533.

Adding to 6740053200 its reverse (23500476), we get a palindrome (6763553676).

The spelling of 6740053200 in words is "six billion, seven hundred forty million, fifty-three thousand, two hundred".